Reliability assessment of a discrete time cold standby repairable system

Alfa AS (2002) Discrete time queues and matrix-analytic methods. TOP 10:147–185 Bebbington M, Lai CD, Weilington M, Zitikis R (2012) The discrete additive Weibull distribution: a bathtub-shaped hazard for discontinuous failure data. Reliability Eng Syst Saf 106:37–44 Castro IT, Alfa AS (2004) Lifetime replacement policy in discrete time for a single unit system. Reliability Eng Syst Saf 84:103–111 Cui L, Wu B (2019) Extended phase-type models for multistate competing risk systems. Reliability Eng Syst Saf 181:1–16 Davies K, Dembinska A (2019) On the number of failed components in a k-out-of-n system upon system failure when the lifetimes are discretely distributed. Reliability Eng Syst Saf 188:47–61 Dembinska A, Goroncy A (2020) Moments of order statistics from DNID discrete random variables with application in reliability. J Comput Appl Math 371:112703 Eisele KT (2006) Recursions for compound phase distributions. Insurance Math Econo. 38:149–156 Eryilmaz S (2016) Discrete time cold standby repairable system: Combinatorial analysis. Commun Stat Theory Methods 45:7399–7405 Eryilmaz S (2019) Statistical inference for a class of start-up demonstration test. J Quality Technol 51:314–324 Gómez-Déniz E (2010) Another generalization of the geometric distribution. Test 19:399–415 Gupta PL, Gupta RC, Tripathi RC (1997) On the monotonic properties of discrete failure rates. J Stat Plan Inference 65:255–268 He QM (2014) Fundamentals of matrix-analytic methods. Springer, New York Hu L, Peng R (2019) Reliability modeling for a discrete time multi-state system with random and dependent transition probabilities. Prooc Inst Mech Eng Part O J Risk Reliab 233:747–760 Jazi MA, Lai CD, Alamatsaz MH (2010) A discrete inverse Weibull distribution and estimation of its parameters. Stat Methodol 7:121–132 Jose JK, Drisya M, Manoharan M (2020) Estimation of stress-strength reliability using discrete phase-type distribution, Communications in Statistics-Theory and Methods, in press Joshi BD, Dharmadhikari AD (1989) Maximization of availability of 1-out-of-2: G repairable dependent system. Adv. Appl. Prob. 21:717–720 Kuder M, Dharmadhikari AD (1996) Nonparametric methods for 1-out-of-2: G repairable systems. Seq Anal 15:145–157 Maier RS (1991) The algebraic construction of phase-type distributions. Commun Stat Stochastic Models 7:573–602 Nair NU, Sankaran PG, Balakrishnan N (2018) Reliability modelling and analysis in discrete time. Academic Press, Cambridge Nakagawa T, Osaki S (1977) Discrete time age replacement policies. Oper Res Quarterly 28:881–885 Navarro J (2016) Stochastic comparisons of generalized mixtures and coherent systems. Test 25:150–169 O’Cinneide CA (1990) Characterization of phase-type distributions. Commun Stat Stochastic Models 6:1–57 Ruiz-Castro JE, Pérez-Ocón R, Ferná ndez-Villodre, G. (2008) Modelling a reliability system governed by discrete phase-type distributions. Reliability Engineering & System Safety 93:1650–1657 Sarhan AM, El-Gohary A (2003) Parameter estimations of 1-out-of-2: G repairable system. Appl Math Comput 145:469–479 Sarmah P, Dharmadhikari AD (1983) Estimation of parameters of 1-out-of-2: G repairable system. Commun Stat Theory Methods 12:1609–1618 Sherwin DJ (1984) On the availability of 1-out-of-2 standby systems, IEEE Transactions on Reliability, R-33, 5, 442-444 Yu M, Tang Y (2017) Optimal replacement policy based on maximum repair time for a random shock and wear model. TOP 25:80–94